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Mashcka [7]
3 years ago
14

Aunt Lucille is 15 years older than Shateria. Aunt Lucille is 2 years younger than twice Shanteria's age. How old are Aunt Lucil

le and Shanteria?
Mathematics
1 answer:
Viktor [21]3 years ago
3 0
If l is lucille's age and s is shateria's age then:
l   =  s + 15

and
l = (s \times 2) - 2
so that means that
s + 15 = 2 \times s - 2 \\ s - 2 \times s =  - 15 - 2 \\  - s =  - 17 \\ s = 17
and if s=17 then l is:
l = s + 15 \\ l = 17 + 15 \\ l = 32

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Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

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B : Student plays baseball

U : Union set or all students.

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n(A)=7

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n(A'\cap B')=7

We know that,

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n(A\cup B)=n(A)+n(B)-n(A\cap B)

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The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

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